About this worksheet

This free Year 8 semicircles and quadrants worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MMGTW2. It targets one skill so students can practise until it sticks: by the end, students can say “I can find the perimeter and area of semicircles, quadrants and sectors, and of composite shapes and shaded regions made with them.”

What’s inside

• Key idea box – a short explanation with worked examples to read before starting.
• A · Fluency (16 questions) – quick practice to build accuracy.
• B · Core (10 questions) – worded problems set in everyday Australian contexts.
• C · Reasoning (4 questions) – explain, justify and spot the error.
• D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
• Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

• Finding the area and perimeter of semicircles and quadrants
• Calculating areas of composite shapes and shaded regions
• Solving track, window and pizza-slice problems

How to use this worksheet

Start with the Key idea box, then complete Section A (use a calculator only where a question says so). Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Leaving the straight edges out of the perimeter
• Halving the area but not the arc
• Using the diameter as the radius
• Counting shared edges in a composite perimeter

Where this fits in the WA Year 8 sequence

Semicircles, Quadrants and Composites sits in the Two-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 8 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Leaving the straight edges out of the perimeter
• Halving the area but not the arc
• Using the diameter as the radius
• Counting shared edges in a composite perimeter